{
  "abstract": "We prove a new estimate on Jacquet-Whittaker function for $\\mathrm{GL}_n(\\mathbb R)$, assuming that the Langlands parameters are purely imaginary and well-spaced. This gives an upper bound for the global sup-norm of the Whittaker function that matches the lower bound of Brumley-Templier in the exponent up to a linear error in $n$.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.06501",
  "author_total": 2,
  "authors": [
    {
      "name": "Gilles Felber"
    },
    {
      "name": "Dávid Tóth"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/amf0kzz92zzyh.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.06501",
  "fulltext_url": null,
  "id": "amf0kzz92zzyh",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.06501",
  "language": null,
  "licence": "CC-BY-4.0",
  "licence_label": "CC BY 4.0",
  "licence_source": "article",
  "licence_url": "http://creativecommons.org/licenses/by/4.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "math.NT"
    ],
    [
      "openalex",
      "2610|Advanced Algebra and Geometry"
    ]
  ],
  "openalex": "W7211999492",
  "pdf_url": "https://arxiv.org/pdf/2609.06501",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-06",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/amf0kzz92zzyh.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:19:58Z",
      "native_id": "2609.06501",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.06501"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.NT",
      "subfield": "algebra-number-theory"
    }
  ],
  "title": "Bounds on Whittaker Functions for $\\mathrm{GL}(n)$",
  "title_text": "Bounds on Whittaker Functions for GL(n)",
  "type": "preprint",
  "updated_at": "2026-10-30T12:19:58Z",
  "url": "https://research.draconitic.com/paper/amf0kzz92zzyh",
  "venue": "arXiv",
  "versions": []
}